{
 "cells": [
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Sampling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the very beginning initial points needs to be sampled. *pymoo* offers different sampling methods depending on the variable type."
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling_random:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Random Sampling ('real_random', 'int_random', 'bin_random')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_sampling\n",
    "from pymoo.util import plotting\n",
    "from pymoo.interface import sample\n",
    "\n",
    "sampling = get_sampling('real_random')\n",
    "\n",
    "X = sample(sampling, 100, 2)\n",
    "plotting.plot(X, no_fill=True)"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. _nb_sampling_lhs:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Latin Hypercube Sampling ('real_lhs')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 248,
       "width": 372
      },
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pymoo.factory import get_sampling\n",
    "from pymoo.util import plotting\n",
    "from pymoo.interface import sample\n",
    "\n",
    "sampling = get_sampling('real_lhs')\n",
    "\n",
    "X = sample(sampling, 100, 2)\n",
    "plotting.plot(X, no_fill=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### API"
   ]
  },
  {
   "cell_type": "raw",
   "metadata": {
    "raw_mimetype": "text/restructuredtext"
   },
   "source": [
    ".. autofunction:: pymoo.factory.get_sampling\n",
    "    :noindex:\n",
    "\n",
    ".. autofunction:: pymoo.model.sampling.Sampling\n",
    "    :noindex:"
   ]
  }
 ],
 "metadata": {
  "celltoolbar": "Raw Cell Format",
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
